UNIT X UNIT 6 | 235 DIFFERENTIATED INSTRUCTION Scaffold Help students understand equivalent measurement by using a map to show the distance between school and the center of town in kilometers and miles. Have a discussion about how the distance doesn’t change and the two measurements refer to the same distance. Amplify Have students use a map or mapping software to figure out how many miles they live from school. Then have them convert this figure to kilometers. FORMATIVE ASSESSMENT Write: Conversion of measurements Write: What does it mean to convert a measurement? Convert your height from US customary system units to metric system units. Explain how you did it. B Reinforce math vocabulary Read each question as a class. Make sure students understand what an equivalent measurement is and what the word convert means. Ask a volunteer to make an equivalent measurement of a book’s length in inches and centimeters. Then check the answer by converting the measurement from inches to centimeters and back again. Have students complete the activity and check their answers as a class. ANSWERS 1. metric system; 2. US customary system; 3. equivalent measurement; 4. convert C Exchange ideas Work through the first word problem with students. Ask: What information do we know? (a pot of tea holds 90 ounces; 8 ounces = 1 cup; 1 liter = 4.2 cups) Ask: How can we figure out how many liters of tea there are in the pot? (convert ounces to cups and cups to liters) Have students complete Activity C. Discuss the answers and how students arrived at their answers. ANSWERS 1. 11.25 cups; 2.68 liters; 2. 92,340 pounds; 41,973 kilograms Make connections Offer examples of when you have to take measurements and make conversions as a teacher. Say: I have to measure clay for our ceramics class. I sometimes have to convert the distances on maps that we use in class. In small groups, have students discuss what they measure. ANSWERS Sample answers: measuring the distance from home to school, measuring the yarn I need for a craft project, measuring cups of flour for a recipe, weighing myself at the doctor’s office, buying a quart or a gallon of milk Practice Book p. 128 Assessment Program p. 110 COMMUNICATE PRACTICE Equivalent Measurements Equivalent measurements are two ways to describe the same amount. You can create equivalent measurements by converting units within a system of measurement. You can also convert measurements from one system to another. Strategies to convert units include drawing a picture, creating a table of equivalent measurements, or using multiplication and division. B Complete each sentence with the correct word or words. 1. The is the measurement system used by most countries around the world. 2. The is the measurement system used primarily in the United States. 3. Twelve inches is an for 1 foot. 4. When you units, you change the original units to new units that are equivalent. C Draw a picture or write an equation to solve each problem. 1. A pot of tea holds 90 ounces of tea. How many cups of tea will the pot of tea serve? How many liters of tea are in the pot? equivalent measurements length 12 inches = 1 foot 3 feet = 1 yard 5,280 feet = 1 mile metric to customary 10 centimeters = 4 inches weight 16 ounces = 1 pound 2,000 pounds = 1 ton metric to customary 10 kilograms = 22 pounds volume 8 ounces = 1 cup 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon metric to customary 1 liter = 4.2 cups 2. During the Boston Tea Party, 342 chests of tea were dumped into the Boston Harbor. If each chest held 270 pounds of tea, how many pounds of tea were dumped into the harbor? How many kilograms were dumped? D Making connections What are some examples of situations when people use measurement? Discuss your ideas as a group. Create a list of examples. convert US customary system equivalent measurement metric system UNIT 6 235 UNIT 6 / CONNECT TO MATHEMATICS
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